Least Common Multiple of 4550 and 4556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4550 and 4556 the smallest integer that is 10364900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4550 and 4556 is 10364900.

LCM(4550,4556) = 10364900

LCM of 4550 and 4556

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4550 and 4556

LCM of 4550 and 4556 is 10364900

Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4556. First we will calculate the prime factors of 4550 and 4556.

Prime Factorization of 4550


2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 4550 are 2, 5, 7,13. Prime factorization of 4550 in exponential form is:

4550 = 21×52×71×131

Prime Factorization of 4556


2 4556
2 2278
17 1139
67 67
1

Prime factors of 4556 are 2, 17,67. Prime factorization of 4556 in exponential form is:

4556 = 22×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4556.

LCM(4550,4556) = 22×52×71×131×171×671
LCM(4550,4556) = 10364900

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550

Factors of 4556

List of positive integer factors of 4556 that divides 4556 without a remainder.

1, 2, 4, 17, 34, 67, 68, 134, 268, 1139, 2278, 4556

Least Common Multiple of 4550 and 4556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4550 and 4556, than apply into the LCM equation.

GCF(4550,4556) = 2
LCM(4550,4556) = ( 4550 × 4556) / 2
LCM(4550,4556) = 20729800 / 2
LCM(4550,4556) = 10364900

Properties of LCM 4550 and 4556

(i) The LCM of 4556 and 4550 is associative

LCM of 4550 and 4556 = LCM of 4556 and 4550

Related Least Common Multiples of 4550

Related Least Common Multiples of 4556

Frequently Asked Questions on LCM of 4550 and 4556

1. What is the LCM of 4550 and 4556?

Answer: LCM of 4550 and 4556 is 10364900.

2. What are the Factors of 4550?

Answer: Factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550. There are 24 integers that are factors of 4550. The greatest factor of 4550 is 4550.

3. What are the Factors of 4556?

Answer: Factors of 4556 are 1, 2, 4, 17, 34, 67, 68, 134, 268, 1139, 2278, 4556. There are 12 integers that are factors of 4556. The greatest factor of 4556 is 4556.

4. How to Find the LCM of 4550 and 4556?

Answer:

Least Common Multiple of 4550 and 4556 = 10364900

Step 1: Find the prime factorization of 4550

4550 = 2 x 5 x 5 x 7 x 13

Step 2: Find the prime factorization of 4556

4556 = 2 x 2 x 17 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10364900 = 2 x 2 x 5 x 5 x 7 x 13 x 17 x 67

Step 4: Therefore, the least common multiple of 4550 and 4556 is 10364900.